According to a spokesman for the German government, it is currently not possible to use Kabul International Airport.
He said there are so many people on the airport grounds that it is impossible to fly.
Images have already appeared on social media of numerous people walking the runway and storming an American transport plane at a station building.
There has been panic in Kabul since the takeover of the extremist Taliban. Many fear for their lives because they have worked with the previous government or with Western powers.